A Mathematical Model On The Dynamics And Stability Of Free And Forced Vibration Of An Automobile:- Duruojinkeya, Prisca U.
ABSTRACT
In this research project we investigated the
vibrational characteristics of a vehicle system, which is directly related to
the ride comfort ofthe passenger and road handling. The suspension system of
the vehicle is simplified as a quarter car model with two degrees of freedom.
This model retains essentially many ofthe important characteristics of the more
complex system in its response to random excitation. We studied a developed a
mathematical model for the quarter-ear model to study the car dynamics during
the passing over a circular hump of standard dimensions. The damping
coefficient of the suspension was varied between 50 and 290 kNs/m to study its
effect on the spring mass dynamics. Vehicle speed between 20 and 50 km/h was
considered during the passing over the circular hump. We observe from our
analysis that the vibration amplitude is decreased when passing over the
circular hump due to the damping factor in the spring mass. Keeping the speed
constant and varying the damping constant in the range 50 to 290 yields
essentially the same graphical profile. This is true even when the velocity is
increased from 20 to 50km/h. Stability analysis ofthe quarter car model was
also investigated by the direct method, and it was observed that the system is
asymptotically stable for the strictly negative eigenvalues obtained from a
cubic polynomial equation.
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DURUOJINKEYA, D (2023). A Mathematical Model On The Dynamics And Stability Of Free And Forced Vibration Of An Automobile:- Duruojinkeya, Prisca U.. Repository.mouau.edu.ng: Retrieved May 11, 2024, from https://repository.mouau.edu.ng/work/view/a-mathematical-model-on-the-dynamics-and-stability-of-free-and-forced-vibration-of-an-automobile-duruojinkeya-prisca-u-7-2
DURUOJINKEYA, DURUOJINKEYA. "A Mathematical Model On The Dynamics And Stability Of Free And Forced Vibration Of An Automobile:- Duruojinkeya, Prisca U." Repository.mouau.edu.ng. Repository.mouau.edu.ng, 26 Oct. 2023, https://repository.mouau.edu.ng/work/view/a-mathematical-model-on-the-dynamics-and-stability-of-free-and-forced-vibration-of-an-automobile-duruojinkeya-prisca-u-7-2. Accessed 11 May. 2024.
DURUOJINKEYA, DURUOJINKEYA. "A Mathematical Model On The Dynamics And Stability Of Free And Forced Vibration Of An Automobile:- Duruojinkeya, Prisca U.". Repository.mouau.edu.ng, Repository.mouau.edu.ng, 26 Oct. 2023. Web. 11 May. 2024. < https://repository.mouau.edu.ng/work/view/a-mathematical-model-on-the-dynamics-and-stability-of-free-and-forced-vibration-of-an-automobile-duruojinkeya-prisca-u-7-2 >.
DURUOJINKEYA, DURUOJINKEYA. "A Mathematical Model On The Dynamics And Stability Of Free And Forced Vibration Of An Automobile:- Duruojinkeya, Prisca U." Repository.mouau.edu.ng (2023). Accessed 11 May. 2024. https://repository.mouau.edu.ng/work/view/a-mathematical-model-on-the-dynamics-and-stability-of-free-and-forced-vibration-of-an-automobile-duruojinkeya-prisca-u-7-2